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Finding the Third Proportional to 593,046 and 1,399,286.25

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Solution

The third proportional to 593,046 and 1,399,286.25 is: 3,301,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,046 : 1,399,286.25 = 1,399,286.25 : x
  2. Step 2: Convert to fraction form
    593,046/1,399,286.25 = 1,399,286.25/x
  3. Step 3: Cross multiply
    593,046x = 1,399,286.25 × 1,399,286.25
  4. Step 4: Simplify right side
    593,046x = 1,958,002,009,439.06
  5. Step 5: Solve for x
    x = 1,958,002,009,439.06/593,046
  6. Step 6: Final answer
    x = 3,301,602.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.